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Finding the Fourth Proportional to 11,130.99, 16,697.61 and 4,112.84

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Solution

The fourth proportional to 11,130.99, 16,697.61 and 4,112.84 is: 6,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.99 : 16,697.61 = 4,112.84 : x
  2. Step 2: Convert to fraction form
    11,130.99/16,697.61 = 4,112.84/x
  3. Step 3: Cross multiply
    11,130.99x = 16,697.61 × 4,112.84
  4. Step 4: Simplify right side
    11,130.99x = 68,674,640.06
  5. Step 5: Solve for x
    x = 68,674,640.06/11,130.99
  6. Step 6: Final answer
    x = 6,169.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.